Buradasınız

Anasayfa » Content

On the Fatou Components of Semiconjugated Transcendental Entire functions

Journal Name:

  • European Journal of Mathematical Sciences

Publication Year:

  • 2013

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this paper, we show that if f and h are two transcendental entire functions which are semiconjugated by an entire map g, where f has no Siegel disk and no Baker domain, then g(F( f ))  F(h).
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastrmx_116273_2_pp_329-333.pdf
  • 3
329-333
  • English

REFERENCES

References: 

[1] I. N. Baker. Wandering Domains in the Iteration of Entire Functions, Proc. London Math.
Soc. 49, 3, 563-576, 1984.
[2] A. F. Beardon. Iteration of Rational Functions, Complex Analytic Dynamical systems,
Springer Verlag, 1991.
[3] W. Bergweiler. Iteration of Meromorphic Functions, Bull. Amer. Math. Soc. 29, 2, 151-188,
1993.
[4] W. Bergweiler and A. Hinkkanean. On Semiconjugation of Entire Functions, Math. Proc.
Cambridge Philos. Soc. 126, 565-574, 1999.
[5] L. Carleson and T. W. Gamelin. Complex dynamics, Springer, New-York, Berlin, Heidelberg,
1993.
[6] M. Heins. Asymptotic Spots of Entire and Meromorphic Functions, Ann. of Math. 66, 430-
439, 1957.
[7] J. Milnor. Dynamics in One Complex Variable: Introductory Lectures, Stony Brook Institute
for Mathematical Sciences, Preprint 1990.
[8] S. Morosawa, Y. Nishmura, M. Taniguchi and T. Ueda. Holomorphic dynamics, Cambridge
University Press 2000.
[9] N. Steinmetz. Rational iteration, de Gruyter, Berlin, New York 1993.

Thank you for copying data from http://www.arastirmax.com